TorusEvaluation

class ansys.geometry.core.shapes.surfaces.torus.TorusEvaluation(torus: Torus, parameter: ansys.geometry.core.shapes.parameterization.ParamUV)

Bases: ansys.geometry.core.shapes.surfaces.surface_evaluation.SurfaceEvaluation

Evaluate the torus`` at given parameters.

Parameters:

Torus: ~ansys.geometry.core.shapes.surfaces.torus.Torus

Torust to evaluate.

parameter: ParamUV

Parameters (u, v) to evaluate the torus at.

Overview

Properties

torus	Torus being evaluated.
parameter	Parameter that the evaluation is based upon.
position	Position of the evaluation.
normal	Normal to the surface.
u_derivative	First derivative with respect to the U parameter.
v_derivative	First derivative with respect to the V parameter.
uu_derivative	Second derivative with respect to the U parameter.
uv_derivative	Second derivative with respect to the U and V parameters.
vv_derivative	Second derivative with respect to the V parameter.
curvature	Curvature of the torus.
min_curvature	Minimum curvature of the torus.
min_curvature_direction	Minimum curvature direction.
max_curvature	Maximum curvature of the torus.
max_curvature_direction	Maximum curvature direction.

Attributes

cache

Import detail

from ansys.geometry.core.shapes.surfaces.torus import TorusEvaluation

Property detail

property TorusEvaluation.torus: Torus

Torus being evaluated.

property TorusEvaluation.parameter: ansys.geometry.core.shapes.parameterization.ParamUV

Parameter that the evaluation is based upon.

property TorusEvaluation.position: ansys.geometry.core.math.point.Point3D

Position of the evaluation.

Returns:

Point3D

Point that lies on the torus at this evaluation.

property TorusEvaluation.normal: ansys.geometry.core.math.vector.UnitVector3D

Normal to the surface.

Returns:

UnitVector3D

Normal unit vector to the torus at this evaluation.

property TorusEvaluation.u_derivative: ansys.geometry.core.math.vector.Vector3D

First derivative with respect to the U parameter.

Returns:

Vector3D

First derivative with respect to the U parameter.

property TorusEvaluation.v_derivative: ansys.geometry.core.math.vector.Vector3D

First derivative with respect to the V parameter.

Returns:

Vector3D

First derivative with respect to the V parameter.

property TorusEvaluation.uu_derivative: ansys.geometry.core.math.vector.Vector3D

Second derivative with respect to the U parameter.

Returns:

Vector3D

Second derivative with respect to the U parameter.

property TorusEvaluation.uv_derivative: ansys.geometry.core.math.vector.Vector3D

Second derivative with respect to the U and V parameters.

Returns:

Vector3D

Second derivative with respect to the U and V parameters.

property TorusEvaluation.vv_derivative: ansys.geometry.core.math.vector.Vector3D

Second derivative with respect to the V parameter.

Returns:

Vector3D

Second derivative with respect to the V parameter.

property TorusEvaluation.curvature: tuple[ansys.geometry.core.typing.Real, ansys.geometry.core.math.vector.Vector3D, ansys.geometry.core.typing.Real, ansys.geometry.core.math.vector.Vector3D]

Curvature of the torus.

Returns:

tuple[Real, Vector3D, Real, Vector3D]

Minimum and maximum curvature value and direction, respectively.

property TorusEvaluation.min_curvature: ansys.geometry.core.typing.Real

Minimum curvature of the torus.

Returns:

Real

Minimum curvature of the torus.

property TorusEvaluation.min_curvature_direction: ansys.geometry.core.math.vector.UnitVector3D

Minimum curvature direction.

Returns:

UnitVector3D

Minimum curvature direction.

property TorusEvaluation.max_curvature: ansys.geometry.core.typing.Real

Maximum curvature of the torus.

Returns:

Real

Maximum curvature of the torus.

property TorusEvaluation.max_curvature_direction: ansys.geometry.core.math.vector.UnitVector3D

Maximum curvature direction.

Returns:

UnitVector3D

Maximum curvature direction.

Attribute detail

TorusEvaluation.cache